Question

How to convert from point slope form to slope intercept form

Answer 1

Answer:

$y=mx+(y_1-mx_1), b=y_1-mx_1$

Step-by-step explanation:

The point slope form of the equation of a line is given as:

$y-y_1=m(x-x_1)$

The slope-intercept form of the equation of a line is given as:

$y=mx+b$

where: m=slope, b=y-intercept.

To convert from the point slope form to slope intercept form, follow these steps:

Step 1: Distribute the right hand side

$y-y_1=m(x-x_1)\\y-y_1=mx-mx_1$

Step 2: Isolate the y variable

$y=mx-mx_1+y_1\\y=mx+(y_1-mx_1)$

This is the slope-intercept form. We can evaluate $y_1-mx_1 given values for (x_1,y_1) and slope, m$